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formal statement (Lean)
121def winner (b₀ b₁ : ℝ) : Fin 2 :=
proof body
Definition body.
122 if b₀ ≥ b₁ then 0 else 1
123
124/-- The payment by agent `0` under bid pair `(b₀, b₁)`. Equals `b₁`
125if 0 wins, else 0. -/
used by (10)
From the project-wide theorem graph. These declarations reference this one in their body.
-
BidVector
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
-
dsic_agent_one
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
-
sigma_cost_to_agent_1
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
-
truthful_is_nash
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
-
vcgCert
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
-
VCGCert
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
-
vcg_one_statement
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
-
vcg_payment_eq_sigma_cost
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
-
was
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
-
welfare_optimal_truthful
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use